What is 5 and 8/9 as a Decimal?

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What is 5 8/9 as a decimal?

Answer

Fraction 5 8/9 as a decimal is
5.8

≈ 5.89 to hundredths

Repeating decimal: denominator 9 = 3 × 3 has the factor 3, not 2 or 5 · the bar marks the period 8 — it repeats forever

5 8/9: whole part, then 8 ÷ 9

Whole part 5 stays in front; divide the fraction part:

remainder×10= digit × 9 + new remainderdigit
8808 × 9 + 88

Remainder 8 is back after the 1st division → the digit 8 repeats forever: 0.8.

5 + 0.8 = 5.8

See Also

Fraction to Decimal Conversion Table

FractionDecimal
5 8/95.8
5 8/105.8
5 8/115.72
5 8/125.6
5 8/135.615384
5 8/155.53
5 8/165.5

FAQ

What is 5 8/9 as a decimal?

Fraction 5 8/9 as a decimal is 5.(8)

How do you convert 5 8/9 to a decimal?

To convert 5 8/9 to a decimal, divide the numerator by the denominator, 8 ÷ 9 = 0.(8), then add the whole part: 5 + 0.(8) = 5.(8).

Why is 5 8/9 a repeating decimal?

In lowest terms its denominator 9 = 3 × 3 has the prime factor 3, so the division never ends: a remainder comes back and the same digits repeat forever.

What is 5 8/9 as a percent?

Multiply by 100: 5 8/9 ≈ 588.89%.